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arXiv · 1405.5335

The N = 1 Supersymmetric Wong Equations and the Non-Abelian Landau Problem

Michaël Fanuel·Jan Govaerts·Gabriel Y. H. Avossevou·Anselme F. Dossa
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Abstract

A Lagrangian formulation is given extending to N = 1 supersymmetry the motion of a charged point particle with spin in a non-abelian external field. The classical formulation is constructed for any external static non-abelian SU(N) gauge potential. As an illustration, a specific gauge is fixed enabling canonical quantization and the study of the supersymmetric non-abelian Landau problem. The spectrum of the quantum Hamiltonian operator follows in accordance with the supersymmetric structure.

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Michaël Fanuel, Jan Govaerts, Gabriel Y. H. Avossevou, Anselme F. Dossa. 2014-05-21. The N = 1 Supersymmetric Wong Equations and the Non-Abelian Landau Problem. https://doi.org/10.1088/1751-8113%2F47%2F46%2F465401

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